SE7906082L - DIGITAL GENERATOR - Google Patents

DIGITAL GENERATOR

Info

Publication number
SE7906082L
SE7906082L SE7906082A SE7906082A SE7906082L SE 7906082 L SE7906082 L SE 7906082L SE 7906082 A SE7906082 A SE 7906082A SE 7906082 A SE7906082 A SE 7906082A SE 7906082 L SE7906082 L SE 7906082L
Authority
SE
Sweden
Prior art keywords
phi
sinewave
approximations
algorithm
generator
Prior art date
Application number
SE7906082A
Other languages
Unknown language ( )
Swedish (sv)
Inventor
L Thomas
C Cardot
Original Assignee
Cit Alcatel
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Cit Alcatel filed Critical Cit Alcatel
Publication of SE7906082L publication Critical patent/SE7906082L/en

Links

Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F1/00—Details not covered by groups G06F3/00 - G06F13/00 and G06F21/00
    • G06F1/02—Digital function generators
    • G06F1/022—Waveform generators, i.e. devices for generating periodical functions of time, e.g. direct digital synthesizers
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2101/00—Indexing scheme relating to the type of digital function generated
    • G06F2101/04—Trigonometric functions

Landscapes

  • Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Digital Transmission Methods That Use Modulated Carrier Waves (AREA)
  • Complex Calculations (AREA)
  • Analogue/Digital Conversion (AREA)
  • Stabilization Of Oscillater, Synchronisation, Frequency Synthesizers (AREA)

Abstract

A digital sinewave generator can be used in digital equipment, e.g. instead of a local oscillator for modulation/demodulation of signals. If there is no simple relationship between sampling rate and the frequency of the sinewave, successive sample values must be calculated since storage of these values would be prohibitive. For a sinewave Rejk phi sampled at successive instants k=0, 1, 2, . . . etc. separated by a phase angle phi , quadrature components Ak+jBk=Rejk phi can be calculated using the algorithm: Ak+1=cos phi Ak-sin phi Bk Bk+1=sin phi Ak+cos phi Bk. Unfortunately it is impossible for cos2 phi +sin2 phi to be exactly equal to unity if calculations are performed with finite precision using an even number base, which as the effect of causing the modulus of a sinewave generated by this algorithm to tend exponentially to 0 to INFINITY . The present invention overcomes this by using the above algorithm to obtain approximations Ak+1' and Bk+1' to the desired result at terminals (9 and 10) and then multiplying (22,23) the approximations Ak+1' and Bk+1' by a correction factor ( 1-1/2 epsilon ) to obtain better approximations Ak+1 and Bk+1 which are stable about the desired amplitude R. <IMAGE> Such a generator can be used as a local oscillator in a modem for example.
SE7906082A 1978-07-13 1979-07-12 DIGITAL GENERATOR SE7906082L (en)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
FR7821006A FR2431221A1 (en) 1978-07-13 1978-07-13 DIGITAL SAMPLE SINE WAVE GENERATOR

Publications (1)

Publication Number Publication Date
SE7906082L true SE7906082L (en) 1980-01-14

Family

ID=9210745

Family Applications (1)

Application Number Title Priority Date Filing Date
SE7906082A SE7906082L (en) 1978-07-13 1979-07-12 DIGITAL GENERATOR

Country Status (10)

Country Link
US (1) US4285044A (en)
BE (1) BE877570A (en)
CA (1) CA1142605A (en)
DE (1) DE2927713A1 (en)
FR (1) FR2431221A1 (en)
GB (1) GB2025668B (en)
IT (1) IT1119031B (en)
LU (1) LU81487A1 (en)
NL (1) NL189783C (en)
SE (1) SE7906082L (en)

Families Citing this family (26)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE3112570C2 (en) * 1981-03-30 1983-12-22 Siemens AG, 1000 Berlin und 8000 München Digital cosine generator
DE3119448C2 (en) * 1981-05-15 1984-10-11 Siemens AG, 1000 Berlin und 8000 München Circuit arrangement for generating a cosine signal and a sinusoidal signal
US4494073A (en) * 1982-09-27 1985-01-15 Cubic Corporation Frequency generator using composite digitally controlled oscillators
US4577287A (en) * 1983-03-02 1986-03-18 At&T Bell Laboratories Method and apparatus for generating digital signals representing periodic samples of a sine wave
FR2589018A1 (en) * 1985-10-22 1987-04-24 Thomson Csf FREQUENCY SYNTHESIS METHOD AND SYNTHESIZER APPARATUS USING THE SAME
AT399236B (en) * 1986-02-03 1995-04-25 Siemens Ag Oesterreich DIGITAL SINUS GENERATOR
US4696017A (en) * 1986-02-03 1987-09-22 E-Systems, Inc. Quadrature signal generator having digitally-controlled phase and amplitude correction
US4761751A (en) * 1986-07-29 1988-08-02 American Telephone And Telegraph Company At&T Bell Laboratories Method and apparatus for generating digital signals representing periodic samples of a sine wave
DE3740130C1 (en) * 1987-11-26 1989-06-08 Rohde & Schwarz Sine wave generator
US4888719A (en) * 1988-07-21 1989-12-19 General Electric Company Sampled-data sine wave and cosine wave generation by accumulation
DE4140132C2 (en) * 1991-12-05 1994-07-21 Blaupunkt Werke Gmbh Digital oscillator
US5198779A (en) * 1992-04-29 1993-03-30 Novatel Communications Ltd. Digital oscillator
US5517535A (en) * 1994-10-13 1996-05-14 Westinghouse Electric Corp. Numerically controlled oscillator with complex exponential outputs using recursion technique
US5619154A (en) * 1995-10-10 1997-04-08 David Sarnoff Research Center, Inc. Numerical voltage controlled oscillator
DE19727303C1 (en) * 1997-06-27 1998-09-17 Telefunken Microelectron Circuit with data sequence generator for digital signal processing
IL132161A (en) 1999-09-30 2002-09-12 Netmor Ltd Digital coherent envelope demodulation of fdma signals
US6892213B2 (en) 2000-09-28 2005-05-10 Seagate Technology Llc Digital sine/cosine wave generator
US6931082B2 (en) 2001-04-10 2005-08-16 Netmor Ltd. Digital phase locked loop
FR2897731B1 (en) * 2006-02-17 2008-11-14 Airbus France Sas ALTERNATIVE SIGNAL GENERATOR, SUCH AS REFERENCE SIGNALS, AND AIRCRAFT EQUIPPED WITH SUCH A GENERATOR
US7911816B2 (en) * 2006-09-13 2011-03-22 Hypertherm, Inc. Linear, inductance based control of regulated electrical properties in a switch mode power supply of a thermal processing system
US8655934B2 (en) * 2007-01-09 2014-02-18 General Instrument Corporation Broadband low noise complex regenerative frequency dividers
FR2918236A1 (en) * 2007-06-26 2009-01-02 France Telecom METHOD AND DEVICE FOR DIGITAL GENERATION OF FREQUENCY.
US8766729B2 (en) 2011-10-05 2014-07-01 Blackberry Limited Apparatus, and associated method, for forming a synthesized oscillating signal
EP2579121B1 (en) * 2011-10-05 2020-12-02 BlackBerry Limited Apparatus, and associated method, for forming a synthesized oscillating signal
AU2013256443B2 (en) 2012-04-30 2017-05-25 Metrotech Corporation Signal select in underground line location
US11656848B2 (en) * 2019-09-18 2023-05-23 Stmicroelectronics International N.V. High throughput parallel architecture for recursive sinusoid synthesizer

Family Cites Families (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3649821A (en) * 1970-06-15 1972-03-14 Philco Ford Corp Digital multiple-tone generator
US3679881A (en) * 1970-06-19 1972-07-25 Western Electric Co Digital sine wave generator and method
GB1331410A (en) * 1970-08-13 1973-09-26 Solartron Electronic Group Digital calculating apparatus for performing the cordic algo- rithm
DE2701859B1 (en) * 1977-01-18 1978-06-15 Siemens Ag Process and digital generator for the direct synthesis of sinusoidal oscillations
US4159526A (en) * 1977-08-08 1979-06-26 Ncr Corporation Digitally controlled variable frequency oscillator

Also Published As

Publication number Publication date
GB2025668B (en) 1982-04-21
CA1142605A (en) 1983-03-08
IT7968456A0 (en) 1979-07-12
US4285044A (en) 1981-08-18
DE2927713A1 (en) 1980-04-17
GB2025668A (en) 1980-01-23
NL189783C (en) 1993-07-16
FR2431221B1 (en) 1981-03-06
NL7905425A (en) 1980-01-15
BE877570A (en) 1980-01-09
IT1119031B (en) 1986-03-03
NL189783B (en) 1993-02-16
DE2927713C2 (en) 1989-06-15
FR2431221A1 (en) 1980-02-08
LU81487A1 (en) 1980-02-14

Similar Documents

Publication Publication Date Title
SE7906082L (en) DIGITAL GENERATOR
JPS63128269A (en) Digital measuring instrument
Robinson The microwave spectrum of phosgene
US4159526A (en) Digitally controlled variable frequency oscillator
EP0085161A3 (en) Digital electric length or angle measuring device
SE8704741D0 (en) DEVICE FOR COMPENSATION OF ERRORS INCORPORATED IN A SQUARE MODULATOR
JPH0235483B2 (en)
WO2000045504A1 (en) Apparatus for phase angle demodulation
US5361036A (en) Complex digital demodulator employing Chebychev-approximation derived synthetic sinusoid generation
Braun et al. Carrier Synchronization Techniques for Unbalanced QPSK Signals-Part I
Min et al. Design concepts of instruments for vector parameter identification
Malling Phase-stable oscillators for space communications, including the relationship between the phase noise, the spectrum, the short-term stability, and the Q of the oscillator
JP3051809B2 (en) Gas concentration measurement processing equipment
RU2011168C1 (en) Device for stabilizing amplitude of oscillations of hemispheric resonator
SU885917A2 (en) Photoelectric spectrum analyzer
SU624363A1 (en) Vector rectangular- to-polar coordinate converter
JP2928416B2 (en) Quadrature detector
KOBAYASHI et al. Real-Time Analog Fourier Analyzer Using PLL and the High-Speed Null Method
Dahn HF IQ Mixer VFO Temperature Compensation and Drive Level Optimization for Opposite Sideband Suppression
JPS6484903A (en) Low distortion oscillator
Gilmour A preliminary rotary spectral analysis of inertial currents off the west coast of Nevj/Zealand (Note)
JPS5915536B2 (en) digital phase locked loop
SU664273A1 (en) Self-excited oscillator
RU2020509C1 (en) Device for correcting errors of quadrature phase detector
Dicke Seismology and geodesy of the sun: Low-frequency oscillations